document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403450>Question 403450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Last problem I'm stuck on...please help!!\r<BR>\n" );
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document.write( "A motorist, traveling along a level highway at a speed of 60 km/h directly toward a mountain, observes that between 1:00 PM and 1:10 PM, the angle of elevation to the top of the mountain changes from 10 degrees to 70 degrees. Approximate the height of the mountain.\r<BR>\n" );
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document.write( "Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285286 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A motorist, traveling along a level highway at a speed of 60 km/h directly toward a mountain, observes that between 1:00 PM and 1:10 PM, the angle of elevation to the top of the mountain changes from 10 degrees to 70 degrees. Approximate the height of the mountain. <BR>\n" );
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document.write( "Draw the diagram -- it'll help you \"see\" the solution.<BR>\n" );
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document.write( "distance traveled in 10 minutes = 10 km<BR>\n" );
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document.write( "Let x = height of mountain<BR>\n" );
document.write( "and y = distance of car at 1:10 and the point perpendicular to peak<BR>\n" );
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document.write( "tan 10 = x/(10+y)<BR>\n" );
document.write( "tan 70 = x/y<BR>\n" );
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document.write( "y = x/tan70<BR>\n" );
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document.write( "tan 10 = x/(10 + x/tan70)<BR>\n" );
document.write( "tan10/tan70 = x/(10tan70 + x)<BR>\n" );
document.write( "tan10(10tan70 + x) = xtan70<BR>\n" );
document.write( "10tan10tan70 + xtan10 = xtan70<BR>\n" );
document.write( "10tan10tan70 = xtan70 - xtan10<BR>\n" );
document.write( "10tan10tan70 = x(tan70-tan10)<BR>\n" );
document.write( "(10tan10tan70)/(tan70-tan10) = x<BR>\n" );
document.write( "1.88 km = x\r<BR>\n" );
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